Commutativity and Ideals in Category Crossed Products
Öinert, Johan; Lundström, Patrik (2008). Commutativity and Ideals in Category Crossed Products : arXiv.org
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Published
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English
Authors:
Öinert, Johan
;
Lundström, Patrik
Department:
Mathematics (Faculty of Engineering)
Non-commutative Geometry-lup-obsolete
Project:
Non-commutative Analysis of Dynamics, Fractals and Wavelets
Non-commutative Geometry in Mathematics and Physics
Research Group:
Non-commutative Geometry-lup-obsolete
Abstract:
In order to simultaneously generalize matrix rings and group graded crossed products, we introduce category crossed products. For such algebras we describe the center and the commutant of the coefficient ring. We also investigate the connection between on the one hand maximal commutativity of the coefficient ring and on the other hand nonemptyness of intersections of the coefficient ring by nonzero twosided ideals.
Keywords:
category graded rings ;
maximal commutativity ;
crossed products ;
ideals
Cite this
arXiv 0812.1468